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Finding the Fourth Proportional to 10,806.49, 16,212.03 and 3,413.08

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Solution

The fourth proportional to 10,806.49, 16,212.03 and 3,413.08 is: 5,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.49 : 16,212.03 = 3,413.08 : x
  2. Step 2: Convert to fraction form
    10,806.49/16,212.03 = 3,413.08/x
  3. Step 3: Cross multiply
    10,806.49x = 16,212.03 × 3,413.08
  4. Step 4: Simplify right side
    10,806.49x = 55,332,955.35
  5. Step 5: Solve for x
    x = 55,332,955.35/10,806.49
  6. Step 6: Final answer
    x = 5,120.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.